LCM of 838, 460, 869, 600, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 460, 869, 600, 704 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 838, 460, 869, 600, 704. So, keep reading to learn more.
Given numbers are 838,460,869,600,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,460,869,600,704 is 40197854400.
Find LCM of 838,460,869,600,704 with Prime Factorization
| 2 | 838, 460, 869, 600, 704 |
| 2 | 419, 230, 869, 300, 352 |
| 2 | 419, 115, 869, 150, 176 |
| 5 | 419, 115, 869, 75, 88 |
| 11 | 419, 23, 869, 15, 88 |
| 419, 23, 79, 15, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 419 x 23 x 79 x 15 x 8 = 40197854400
Therefore, the lowest common multiple of 838,460,869,600,704 is 40197854400.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
838 x 460 x 869 x 600 x 704 = 141496447488000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
838 : 1, 2, 419, 838
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
869 : 1, 11, 79, 869
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,460,869,600,704, is 1.
Now, the common factors can be found like this.
838:2x 419
460:2x 2x 5x 23
869:11x 79
600:2x 2x 2x 3x 5x 5
704:2x 2x 2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 5x 11 = 3520
Therefore, the value for common factors is 3520.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 141496447488000/(1x3520)
LCM = 141496447488000/3520
LCM = 40197854400
Thus, we can understand that the LCM of 838,460,869,600,704 is 40197854400.
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FAQs on LCM of 838, 460, 869, 600, 704
1. What is the LCM of 838, 460, 869, 600, 704?
Answer: LCM of 838, 460, 869, 600, 704 is 40197854400.
2. How to calculate the LCM of 838, 460, 869, 600, 704?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 838, 460, 869, 600, 704.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.